A single plastic part is randomly selected from a large population of such parts. Can the...
A single plastic part is randomly selected from a large population of such parts. Can the length of the chosen part be considered an unbiased estimator of the average length of all the parts?
Homework Answers
For unbiased estimation of population mean with large population size the estimate must not be too large or too small. This is one of the desirable property of unbiased estimator. Sample of size one may be unbiased estimator but sampling error and error of estimate in such case probably high. Thus the estimate obtained can't meet to population parameter adequately.
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A single plastic part is randomly selected from a large
population of such parts. Can the...
Question 30 A researcher randomly selected 100 junior high students from a large school district to...
Question 30 A researcher randomly selected 100 junior high students from a large school district to take part in a study of the effects of television violence on the social behavior of children aged 11-13 years. The students selected to be in the study are considered which of the following? a.The population b.The sampling frame c.The sample d.The target population
Of n randomly selected engineering students at ASU, X1 owned an HP calculator, and ofn2 randomly...
Of n randomly selected engineering students at ASU, X1 owned an HP calculator, and ofn2 randomly selected engineering students at Virginia Tech, X2 owned an HP calculator. Let p, and p2 be the probability that randomly selected ASU and Virginia Tech engineering students, respectively, own HP calculators (a) Model the two random variables X1, X2 as a reasonable random variable with appropriate parameters (b) Show that an unbiased estimator for Ф-Pa) is (X1/nl-X2/n2) (c) What is the standard error of...
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A robot randomly removes about 1,000 parts each hour from a large bin. For the first...
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A grocery bag can be classified as either paper or plastic. 84% of grocery bags are...
A grocery bag can be classified as either paper or plastic. 84% of grocery bags are classified as plastic. (a) Two grocery bags are chosen at random. What is the probability that both grocery bags are plastic? (b) five grocery bags are chosen at random. What is the probability that all five grocery bags are plastic?(c) What is the probability that at least one of five randomly selected grocery bags is paper? Would it be unusual that at least one...
1) What is the probability of a randomly selected value from a normally distributed population falling...
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12. Provide an appropriate response. Samples of size n- 240 are randomly selected from the population...
12. Provide an appropriate response. Samples of size n- 240 are randomly selected from the population of numbers (0 through 20) produced by a random-number generator, and the variance is found for each sample. What is the distribution of the sample variances? O normal (approximately) O skewed to the right O skewed to the left O not enough information provided 13. Choose the correct response. ( point) Why is sampling without replacement acceptable with a large population? When a small...
Two different types of injection- moulding machines are used to form plastic parts. A part is...
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7. Consider a random sample X1,..., Xn from a population with a Bernoulli(@) distri- bution. (a)...
7. Consider a random sample X1,..., Xn from a population with a Bernoulli(@) distri- bution. (a) Suppose n > 3, show that the product W = X X X3 is an unbiased estimator of p. (b) Show that T = 2h-1X; is a sufficient statistic for 0 (c) Using your answers to parts (a) and (b), use the Rao-Blackwell Theorem to find a better unbiased estimator of 03. (Make sure you account for all cases) (d) Show that T =...
A robot randomly removes about 1,000 parts each hour from a large bin. For the first...
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Of n randomly selected engineering students at ASU, X1 owned an HP calculator, and ofn2 randomly selected engineering students at Virginia Tech, X2 owned an HP calculator. Let p, and p2 be the probability that randomly selected ASU and Virginia Tech engineering students, respectively, own HP calculators (a) Model the two random variables X1, X2 as a reasonable random variable with appropriate parameters (b) Show that an unbiased estimator for Ф-Pa) is (X1/nl-X2/n2) (c) What is the standard error of...
12. Provide an appropriate response. Samples of size n- 240 are randomly selected from the population of numbers (0 through 20) produced by a random-number generator, and the variance is found for each sample. What is the distribution of the sample variances? O normal (approximately) O skewed to the right O skewed to the left O not enough information provided 13. Choose the correct response. ( point) Why is sampling without replacement acceptable with a large population? When a small...
Two different types of injection- moulding machines are used to form plastic parts. A part is considered defective if it has excessive shrinkage or is discoloured. Two random samples, each of size 300, are selected, and 15 defective parts are found in the sample from machine 1, and 8 defective parts are found in the sample from machine 2. Is it reasonable to conclude that both machines produce the same fraction of defective parts, using a 0.05, find the value...
7. Consider a random sample X1,..., Xn from a population with a Bernoulli(@) distri- bution. (a) Suppose n > 3, show that the product W = X X X3 is an unbiased estimator of p. (b) Show that T = 2h-1X; is a sufficient statistic for 0 (c) Using your answers to parts (a) and (b), use the Rao-Blackwell Theorem to find a better unbiased estimator of 03. (Make sure you account for all cases) (d) Show that T =...
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